16(a+b)方-(a-b)方分解因式
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解决时间 2021-02-18 15:56
- 提问者网友：星軌
- 2021-02-18 09:40
16(a+b)方-(a-b)方分解因式
最佳答案
- 五星知识达人网友：千杯敬自由
- 2021-02-18 10:41
16(a+b)²-(a-b)²
=【4（a+b）】² -(a-b)²
=[4(a+b)+(a-b)][4(a+b)-(a-b)]
=[4a+4b+a-b] [4a+4b-a+b]
=(5a+3b)(3a+5b)
=【4（a+b）】² -(a-b)²
=[4(a+b)+(a-b)][4(a+b)-(a-b)]
=[4a+4b+a-b] [4a+4b-a+b]
=(5a+3b)(3a+5b)
全部回答
- 1楼网友：封刀令
- 2021-02-18 15:45
=15（a+b）^2+(a+b)^2-(a-b)^2
=15（a+b）^2+4ab
=15a^2+34ab+15b^2
=15（a+b）^2+4ab
=15a^2+34ab+15b^2
- 2楼网友：行路难
- 2021-02-18 15:39
16(a+b)方-(a-b)方=【4(a+b)-(a-b)】【4(a+b)+(a-b)】=（3a+5b）（5a+3b）
- 3楼网友：西岸风
- 2021-02-18 14:11
16(a+b)^2-(a-b)^2=[4(a+b)+(a-b)][4(a+b)-(a-b)]=(5a+3b)(3a+5b)
- 4楼网友：归鹤鸣
- 2021-02-18 13:09
解：原式=[4(a+b)]²-(a-b)²
=[4(a+b)+(a-b)][4(a+b)-(a-b)]
=(5a+3b)(3a+5b)
=[4(a+b)+(a-b)][4(a+b)-(a-b)]
=(5a+3b)(3a+5b)
- 5楼网友：醉吻情书
- 2021-02-18 11:57
你为什么要写“方”字呢？键盘输入二次方的符号不方便，我们干脆就用双引号代替
16(a+b)" -(a-b)"
= 4"( a +b )" -( a -b )"
= ( 4a + 4b )" -( a -b )"
= ( 4a +4b +a -b )( 4a+ 4b -a +b )
= ( 5a +3b )( 3a +5b )
16(a+b)" -(a-b)"
= 4"( a +b )" -( a -b )"
= ( 4a + 4b )" -( a -b )"
= ( 4a +4b +a -b )( 4a+ 4b -a +b )
= ( 5a +3b )( 3a +5b )
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